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Finding the Fourth Proportional to 7,710.16, 10,645.22 and 5,062.06

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Solution

The fourth proportional to 7,710.16, 10,645.22 and 5,062.06 is: 6,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.16 : 10,645.22 = 5,062.06 : x
  2. Step 2: Convert to fraction form
    7,710.16/10,645.22 = 5,062.06/x
  3. Step 3: Cross multiply
    7,710.16x = 10,645.22 × 5,062.06
  4. Step 4: Simplify right side
    7,710.16x = 53,886,742.35
  5. Step 5: Solve for x
    x = 53,886,742.35/7,710.16
  6. Step 6: Final answer
    x = 6,989.06

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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.