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Finding the Fourth Proportional to 7,497.90, 10,346.36 and 4,140.84

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Solution

The fourth proportional to 7,497.90, 10,346.36 and 4,140.84 is: 5,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.90 : 10,346.36 = 4,140.84 : x
  2. Step 2: Convert to fraction form
    7,497.90/10,346.36 = 4,140.84/x
  3. Step 3: Cross multiply
    7,497.90x = 10,346.36 × 4,140.84
  4. Step 4: Simplify right side
    7,497.90x = 42,842,621.34
  5. Step 5: Solve for x
    x = 42,842,621.34/7,497.90
  6. Step 6: Final answer
    x = 5,713.95

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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.