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Finding the Fourth Proportional to 11,543.48, 15,929.05 and 6,508.94

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Solution

The fourth proportional to 11,543.48, 15,929.05 and 6,508.94 is: 8,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.48 : 15,929.05 = 6,508.94 : x
  2. Step 2: Convert to fraction form
    11,543.48/15,929.05 = 6,508.94/x
  3. Step 3: Cross multiply
    11,543.48x = 15,929.05 × 6,508.94
  4. Step 4: Simplify right side
    11,543.48x = 103,681,230.71
  5. Step 5: Solve for x
    x = 103,681,230.71/11,543.48
  6. Step 6: Final answer
    x = 8,981.80

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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.