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Finding the Fourth Proportional to 7,772.04, 11,643.48 and 6,032.16

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Solution

The fourth proportional to 7,772.04, 11,643.48 and 6,032.16 is: 9,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.04 : 11,643.48 = 6,032.16 : x
  2. Step 2: Convert to fraction form
    7,772.04/11,643.48 = 6,032.16/x
  3. Step 3: Cross multiply
    7,772.04x = 11,643.48 × 6,032.16
  4. Step 4: Simplify right side
    7,772.04x = 70,235,334.32
  5. Step 5: Solve for x
    x = 70,235,334.32/7,772.04
  6. Step 6: Final answer
    x = 9,036.92

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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.