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Finding the Fourth Proportional to 7,088.04, 9,782.58 and 5,406.60

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Solution

The fourth proportional to 7,088.04, 9,782.58 and 5,406.60 is: 7,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.04 : 9,782.58 = 5,406.60 : x
  2. Step 2: Convert to fraction form
    7,088.04/9,782.58 = 5,406.60/x
  3. Step 3: Cross multiply
    7,088.04x = 9,782.58 × 5,406.60
  4. Step 4: Simplify right side
    7,088.04x = 52,890,497.03
  5. Step 5: Solve for x
    x = 52,890,497.03/7,088.04
  6. Step 6: Final answer
    x = 7,461.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.