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Finding the Fourth Proportional to 11,277.64, 15,570.80 and 7,030.40

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Solution

The fourth proportional to 11,277.64, 15,570.80 and 7,030.40 is: 9,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.64 : 15,570.80 = 7,030.40 : x
  2. Step 2: Convert to fraction form
    11,277.64/15,570.80 = 7,030.40/x
  3. Step 3: Cross multiply
    11,277.64x = 15,570.80 × 7,030.40
  4. Step 4: Simplify right side
    11,277.64x = 109,468,952.32
  5. Step 5: Solve for x
    x = 109,468,952.32/11,277.64
  6. Step 6: Final answer
    x = 9,706.73

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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.