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Finding the Fourth Proportional to 7,547.40, 10,415.52 and 4,562.70

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Solution

The fourth proportional to 7,547.40, 10,415.52 and 4,562.70 is: 6,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.40 : 10,415.52 = 4,562.70 : x
  2. Step 2: Convert to fraction form
    7,547.40/10,415.52 = 4,562.70/x
  3. Step 3: Cross multiply
    7,547.40x = 10,415.52 × 4,562.70
  4. Step 4: Simplify right side
    7,547.40x = 47,522,893.10
  5. Step 5: Solve for x
    x = 47,522,893.10/7,547.40
  6. Step 6: Final answer
    x = 6,296.59

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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.