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Finding the Fourth Proportional to 7,587.63, 10,475.42 and 6,746.01

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Solution

The fourth proportional to 7,587.63, 10,475.42 and 6,746.01 is: 9,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.63 : 10,475.42 = 6,746.01 : x
  2. Step 2: Convert to fraction form
    7,587.63/10,475.42 = 6,746.01/x
  3. Step 3: Cross multiply
    7,587.63x = 10,475.42 × 6,746.01
  4. Step 4: Simplify right side
    7,587.63x = 70,667,201.97
  5. Step 5: Solve for x
    x = 70,667,201.97/7,587.63
  6. Step 6: Final answer
    x = 9,313.47

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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.