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Finding the Fourth Proportional to 7,563.56, 11,347.42 and 5,386.16

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Solution

The fourth proportional to 7,563.56, 11,347.42 and 5,386.16 is: 8,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.56 : 11,347.42 = 5,386.16 : x
  2. Step 2: Convert to fraction form
    7,563.56/11,347.42 = 5,386.16/x
  3. Step 3: Cross multiply
    7,563.56x = 11,347.42 × 5,386.16
  4. Step 4: Simplify right side
    7,563.56x = 61,119,019.71
  5. Step 5: Solve for x
    x = 61,119,019.71/7,563.56
  6. Step 6: Final answer
    x = 8,080.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.