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Finding the Fourth Proportional to 7,710.34, 10,641.46 and 4,354.50

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Solution

The fourth proportional to 7,710.34, 10,641.46 and 4,354.50 is: 6,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.34 : 10,641.46 = 4,354.50 : x
  2. Step 2: Convert to fraction form
    7,710.34/10,641.46 = 4,354.50/x
  3. Step 3: Cross multiply
    7,710.34x = 10,641.46 × 4,354.50
  4. Step 4: Simplify right side
    7,710.34x = 46,338,237.57
  5. Step 5: Solve for x
    x = 46,338,237.57/7,710.34
  6. Step 6: Final answer
    x = 6,009.88

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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.