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Finding the Fourth Proportional to 10,259.86, 14,158.66 and 5,783.66

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Solution

The fourth proportional to 10,259.86, 14,158.66 and 5,783.66 is: 7,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.86 : 14,158.66 = 5,783.66 : x
  2. Step 2: Convert to fraction form
    10,259.86/14,158.66 = 5,783.66/x
  3. Step 3: Cross multiply
    10,259.86x = 14,158.66 × 5,783.66
  4. Step 4: Simplify right side
    10,259.86x = 81,888,875.50
  5. Step 5: Solve for x
    x = 81,888,875.50/10,259.86
  6. Step 6: Final answer
    x = 7,981.48

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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.