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Finding the Fourth Proportional to 10,527.86, 15,803.15 and 9,365.28

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Solution

The fourth proportional to 10,527.86, 15,803.15 and 9,365.28 is: 14,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.86 : 15,803.15 = 9,365.28 : x
  2. Step 2: Convert to fraction form
    10,527.86/15,803.15 = 9,365.28/x
  3. Step 3: Cross multiply
    10,527.86x = 15,803.15 × 9,365.28
  4. Step 4: Simplify right side
    10,527.86x = 148,000,877.81
  5. Step 5: Solve for x
    x = 148,000,877.81/10,527.86
  6. Step 6: Final answer
    x = 14,058.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.