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Finding the Fourth Proportional to 10,437.12, 15,656 and 3,042.40

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Solution

The fourth proportional to 10,437.12, 15,656 and 3,042.40 is: 4,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.12 : 15,656 = 3,042.40 : x
  2. Step 2: Convert to fraction form
    10,437.12/15,656 = 3,042.40/x
  3. Step 3: Cross multiply
    10,437.12x = 15,656 × 3,042.40
  4. Step 4: Simplify right side
    10,437.12x = 47,631,814.40
  5. Step 5: Solve for x
    x = 47,631,814.40/10,437.12
  6. Step 6: Final answer
    x = 4,563.69

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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.