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Finding the Fourth Proportional to 7,690.58, 11,526.35 and 5,465.87

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Solution

The fourth proportional to 7,690.58, 11,526.35 and 5,465.87 is: 8,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.58 : 11,526.35 = 5,465.87 : x
  2. Step 2: Convert to fraction form
    7,690.58/11,526.35 = 5,465.87/x
  3. Step 3: Cross multiply
    7,690.58x = 11,526.35 × 5,465.87
  4. Step 4: Simplify right side
    7,690.58x = 63,001,473.04
  5. Step 5: Solve for x
    x = 63,001,473.04/7,690.58
  6. Step 6: Final answer
    x = 8,192.03

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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.