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Finding the Fourth Proportional to 10,381.71, 14,324.57 and 6,603.50

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Solution

The fourth proportional to 10,381.71, 14,324.57 and 6,603.50 is: 9,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.71 : 14,324.57 = 6,603.50 : x
  2. Step 2: Convert to fraction form
    10,381.71/14,324.57 = 6,603.50/x
  3. Step 3: Cross multiply
    10,381.71x = 14,324.57 × 6,603.50
  4. Step 4: Simplify right side
    10,381.71x = 94,592,298.00
  5. Step 5: Solve for x
    x = 94,592,298.00/10,381.71
  6. Step 6: Final answer
    x = 9,111.44

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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.