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Finding the Fourth Proportional to 7,649.48, 10,557.47 and 4,293.65

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Solution

The fourth proportional to 7,649.48, 10,557.47 and 4,293.65 is: 5,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.48 : 10,557.47 = 4,293.65 : x
  2. Step 2: Convert to fraction form
    7,649.48/10,557.47 = 4,293.65/x
  3. Step 3: Cross multiply
    7,649.48x = 10,557.47 × 4,293.65
  4. Step 4: Simplify right side
    7,649.48x = 45,330,081.07
  5. Step 5: Solve for x
    x = 45,330,081.07/7,649.48
  6. Step 6: Final answer
    x = 5,925.90

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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.