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Finding the Fourth Proportional to 7,758.61, 11,585.21 and 7,548.42

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Solution

The fourth proportional to 7,758.61, 11,585.21 and 7,548.42 is: 11,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.61 : 11,585.21 = 7,548.42 : x
  2. Step 2: Convert to fraction form
    7,758.61/11,585.21 = 7,548.42/x
  3. Step 3: Cross multiply
    7,758.61x = 11,585.21 × 7,548.42
  4. Step 4: Simplify right side
    7,758.61x = 87,450,030.87
  5. Step 5: Solve for x
    x = 87,450,030.87/7,758.61
  6. Step 6: Final answer
    x = 11,271.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.