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Finding the Fourth Proportional to 7,588.13, 10,476.11 and 6,746.51

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Solution

The fourth proportional to 7,588.13, 10,476.11 and 6,746.51 is: 9,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.13 : 10,476.11 = 6,746.51 : x
  2. Step 2: Convert to fraction form
    7,588.13/10,476.11 = 6,746.51/x
  3. Step 3: Cross multiply
    7,588.13x = 10,476.11 × 6,746.51
  4. Step 4: Simplify right side
    7,588.13x = 70,677,180.88
  5. Step 5: Solve for x
    x = 70,677,180.88/7,588.13
  6. Step 6: Final answer
    x = 9,314.18

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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.