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Finding the Fourth Proportional to 10,527.15, 14,526.85 and 5,746.15

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Solution

The fourth proportional to 10,527.15, 14,526.85 and 5,746.15 is: 7,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.15 : 14,526.85 = 5,746.15 : x
  2. Step 2: Convert to fraction form
    10,527.15/14,526.85 = 5,746.15/x
  3. Step 3: Cross multiply
    10,527.15x = 14,526.85 × 5,746.15
  4. Step 4: Simplify right side
    10,527.15x = 83,473,408.45
  5. Step 5: Solve for x
    x = 83,473,408.45/10,527.15
  6. Step 6: Final answer
    x = 7,929.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.