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Finding the Fourth Proportional to 7,897.60, 11,837.76 and 5,582.08

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Solution

The fourth proportional to 7,897.60, 11,837.76 and 5,582.08 is: 8,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.60 : 11,837.76 = 5,582.08 : x
  2. Step 2: Convert to fraction form
    7,897.60/11,837.76 = 5,582.08/x
  3. Step 3: Cross multiply
    7,897.60x = 11,837.76 × 5,582.08
  4. Step 4: Simplify right side
    7,897.60x = 66,079,323.34
  5. Step 5: Solve for x
    x = 66,079,323.34/7,897.60
  6. Step 6: Final answer
    x = 8,367.01

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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.