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Finding the Fourth Proportional to 7,068.48, 9,761.76 and 5,297.28

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Solution

The fourth proportional to 7,068.48, 9,761.76 and 5,297.28 is: 7,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.48 : 9,761.76 = 5,297.28 : x
  2. Step 2: Convert to fraction form
    7,068.48/9,761.76 = 5,297.28/x
  3. Step 3: Cross multiply
    7,068.48x = 9,761.76 × 5,297.28
  4. Step 4: Simplify right side
    7,068.48x = 51,710,776.01
  5. Step 5: Solve for x
    x = 51,710,776.01/7,068.48
  6. Step 6: Final answer
    x = 7,315.69

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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.