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Finding the Fourth Proportional to 10,262.16, 15,390 and 4,417.20

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Solution

The fourth proportional to 10,262.16, 15,390 and 4,417.20 is: 6,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.16 : 15,390 = 4,417.20 : x
  2. Step 2: Convert to fraction form
    10,262.16/15,390 = 4,417.20/x
  3. Step 3: Cross multiply
    10,262.16x = 15,390 × 4,417.20
  4. Step 4: Simplify right side
    10,262.16x = 67,980,708
  5. Step 5: Solve for x
    x = 67,980,708/10,262.16
  6. Step 6: Final answer
    x = 6,624.41

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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.