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Finding the Fourth Proportional to 10,280.68, 15,424.88 and 6,123.08

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Solution

The fourth proportional to 10,280.68, 15,424.88 and 6,123.08 is: 9,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.68 : 15,424.88 = 6,123.08 : x
  2. Step 2: Convert to fraction form
    10,280.68/15,424.88 = 6,123.08/x
  3. Step 3: Cross multiply
    10,280.68x = 15,424.88 × 6,123.08
  4. Step 4: Simplify right side
    10,280.68x = 94,447,774.23
  5. Step 5: Solve for x
    x = 94,447,774.23/10,280.68
  6. Step 6: Final answer
    x = 9,186.92

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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.