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Finding the Fourth Proportional to 7,421.76, 10,264.32 and 6,488.64

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Solution

The fourth proportional to 7,421.76, 10,264.32 and 6,488.64 is: 8,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.76 : 10,264.32 = 6,488.64 : x
  2. Step 2: Convert to fraction form
    7,421.76/10,264.32 = 6,488.64/x
  3. Step 3: Cross multiply
    7,421.76x = 10,264.32 × 6,488.64
  4. Step 4: Simplify right side
    7,421.76x = 66,601,477.32
  5. Step 5: Solve for x
    x = 66,601,477.32/7,421.76
  6. Step 6: Final answer
    x = 8,973.81

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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.