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Finding the Fourth Proportional to 7,419.69, 10,225.35 and 6,085.62

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Solution

The fourth proportional to 7,419.69, 10,225.35 and 6,085.62 is: 8,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.69 : 10,225.35 = 6,085.62 : x
  2. Step 2: Convert to fraction form
    7,419.69/10,225.35 = 6,085.62/x
  3. Step 3: Cross multiply
    7,419.69x = 10,225.35 × 6,085.62
  4. Step 4: Simplify right side
    7,419.69x = 62,227,594.47
  5. Step 5: Solve for x
    x = 62,227,594.47/7,419.69
  6. Step 6: Final answer
    x = 8,386.82

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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.