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Finding the Fourth Proportional to 10,368.63, 15,549.76 and 2,971.11

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Solution

The fourth proportional to 10,368.63, 15,549.76 and 2,971.11 is: 4,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.63 : 15,549.76 = 2,971.11 : x
  2. Step 2: Convert to fraction form
    10,368.63/15,549.76 = 2,971.11/x
  3. Step 3: Cross multiply
    10,368.63x = 15,549.76 × 2,971.11
  4. Step 4: Simplify right side
    10,368.63x = 46,199,954.83
  5. Step 5: Solve for x
    x = 46,199,954.83/10,368.63
  6. Step 6: Final answer
    x = 4,455.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.