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Finding the Fourth Proportional to 7,897.47, 10,897.57 and 4,710.93

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Solution

The fourth proportional to 7,897.47, 10,897.57 and 4,710.93 is: 6,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.47 : 10,897.57 = 4,710.93 : x
  2. Step 2: Convert to fraction form
    7,897.47/10,897.57 = 4,710.93/x
  3. Step 3: Cross multiply
    7,897.47x = 10,897.57 × 4,710.93
  4. Step 4: Simplify right side
    7,897.47x = 51,337,689.44
  5. Step 5: Solve for x
    x = 51,337,689.44/7,897.47
  6. Step 6: Final answer
    x = 6,500.52

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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.