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Finding the Fourth Proportional to 7,064.88, 9,752.76 and 5,302.32

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Solution

The fourth proportional to 7,064.88, 9,752.76 and 5,302.32 is: 7,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.88 : 9,752.76 = 5,302.32 : x
  2. Step 2: Convert to fraction form
    7,064.88/9,752.76 = 5,302.32/x
  3. Step 3: Cross multiply
    7,064.88x = 9,752.76 × 5,302.32
  4. Step 4: Simplify right side
    7,064.88x = 51,712,254.40
  5. Step 5: Solve for x
    x = 51,712,254.40/7,064.88
  6. Step 6: Final answer
    x = 7,319.62

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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.