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Finding the Fourth Proportional to 10,430.86, 15,545.94 and 10,264.79

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Solution

The fourth proportional to 10,430.86, 15,545.94 and 10,264.79 is: 15,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.86 : 15,545.94 = 10,264.79 : x
  2. Step 2: Convert to fraction form
    10,430.86/15,545.94 = 10,264.79/x
  3. Step 3: Cross multiply
    10,430.86x = 15,545.94 × 10,264.79
  4. Step 4: Simplify right side
    10,430.86x = 159,575,751.53
  5. Step 5: Solve for x
    x = 159,575,751.53/10,430.86
  6. Step 6: Final answer
    x = 15,298.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.