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Finding the Fourth Proportional to 7,523.65, 11,302.77 and 5,307.58

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Solution

The fourth proportional to 7,523.65, 11,302.77 and 5,307.58 is: 7,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.65 : 11,302.77 = 5,307.58 : x
  2. Step 2: Convert to fraction form
    7,523.65/11,302.77 = 5,307.58/x
  3. Step 3: Cross multiply
    7,523.65x = 11,302.77 × 5,307.58
  4. Step 4: Simplify right side
    7,523.65x = 59,990,356.00
  5. Step 5: Solve for x
    x = 59,990,356.00/7,523.65
  6. Step 6: Final answer
    x = 7,973.58

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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.