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Finding the Fourth Proportional to 10,387.83, 15,572.46 and 4,539.81

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Solution

The fourth proportional to 10,387.83, 15,572.46 and 4,539.81 is: 6,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.83 : 15,572.46 = 4,539.81 : x
  2. Step 2: Convert to fraction form
    10,387.83/15,572.46 = 4,539.81/x
  3. Step 3: Cross multiply
    10,387.83x = 15,572.46 × 4,539.81
  4. Step 4: Simplify right side
    10,387.83x = 70,696,009.63
  5. Step 5: Solve for x
    x = 70,696,009.63/10,387.83
  6. Step 6: Final answer
    x = 6,805.66

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