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Finding the Fourth Proportional to 7,885.64, 11,782.68 and 5,973.23

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Solution

The fourth proportional to 7,885.64, 11,782.68 and 5,973.23 is: 8,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.64 : 11,782.68 = 5,973.23 : x
  2. Step 2: Convert to fraction form
    7,885.64/11,782.68 = 5,973.23/x
  3. Step 3: Cross multiply
    7,885.64x = 11,782.68 × 5,973.23
  4. Step 4: Simplify right side
    7,885.64x = 70,380,598.74
  5. Step 5: Solve for x
    x = 70,380,598.74/7,885.64
  6. Step 6: Final answer
    x = 8,925.17

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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.