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Finding the Fourth Proportional to 7,417.20, 11,071.64 and 6,483

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Solution

The fourth proportional to 7,417.20, 11,071.64 and 6,483 is: 9,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.20 : 11,071.64 = 6,483 : x
  2. Step 2: Convert to fraction form
    7,417.20/11,071.64 = 6,483/x
  3. Step 3: Cross multiply
    7,417.20x = 11,071.64 × 6,483
  4. Step 4: Simplify right side
    7,417.20x = 71,777,409.71
  5. Step 5: Solve for x
    x = 71,777,409.71/7,417.20
  6. Step 6: Final answer
    x = 9,677.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.