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Finding the Fourth Proportional to 11,302.43, 15,604.64 and 7,271.06

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Solution

The fourth proportional to 11,302.43, 15,604.64 and 7,271.06 is: 10,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.43 : 15,604.64 = 7,271.06 : x
  2. Step 2: Convert to fraction form
    11,302.43/15,604.64 = 7,271.06/x
  3. Step 3: Cross multiply
    11,302.43x = 15,604.64 × 7,271.06
  4. Step 4: Simplify right side
    11,302.43x = 113,462,159.34
  5. Step 5: Solve for x
    x = 113,462,159.34/11,302.43
  6. Step 6: Final answer
    x = 10,038.74

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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.