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Finding the Fourth Proportional to 11,312.02, 15,577.70 and 10,590

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Solution

The fourth proportional to 11,312.02, 15,577.70 and 10,590 is: 14,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.02 : 15,577.70 = 10,590 : x
  2. Step 2: Convert to fraction form
    11,312.02/15,577.70 = 10,590/x
  3. Step 3: Cross multiply
    11,312.02x = 15,577.70 × 10,590
  4. Step 4: Simplify right side
    11,312.02x = 164,967,843
  5. Step 5: Solve for x
    x = 164,967,843/11,312.02
  6. Step 6: Final answer
    x = 14,583.41

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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.