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Finding the Fourth Proportional to 7,748.70, 10,689.76 and 4,603.08

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Solution

The fourth proportional to 7,748.70, 10,689.76 and 4,603.08 is: 6,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.70 : 10,689.76 = 4,603.08 : x
  2. Step 2: Convert to fraction form
    7,748.70/10,689.76 = 4,603.08/x
  3. Step 3: Cross multiply
    7,748.70x = 10,689.76 × 4,603.08
  4. Step 4: Simplify right side
    7,748.70x = 49,205,820.46
  5. Step 5: Solve for x
    x = 49,205,820.46/7,748.70
  6. Step 6: Final answer
    x = 6,350.20

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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.