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Finding the Fourth Proportional to 10,531.71, 14,533.76 and 5,815.95

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Solution

The fourth proportional to 10,531.71, 14,533.76 and 5,815.95 is: 8,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.71 : 14,533.76 = 5,815.95 : x
  2. Step 2: Convert to fraction form
    10,531.71/14,533.76 = 5,815.95/x
  3. Step 3: Cross multiply
    10,531.71x = 14,533.76 × 5,815.95
  4. Step 4: Simplify right side
    10,531.71x = 84,527,592.39
  5. Step 5: Solve for x
    x = 84,527,592.39/10,531.71
  6. Step 6: Final answer
    x = 8,026.01

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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.