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Finding the Fourth Proportional to 10,465.63, 14,442.57 and 5,750.21

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Solution

The fourth proportional to 10,465.63, 14,442.57 and 5,750.21 is: 7,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.63 : 14,442.57 = 5,750.21 : x
  2. Step 2: Convert to fraction form
    10,465.63/14,442.57 = 5,750.21/x
  3. Step 3: Cross multiply
    10,465.63x = 14,442.57 × 5,750.21
  4. Step 4: Simplify right side
    10,465.63x = 83,047,810.44
  5. Step 5: Solve for x
    x = 83,047,810.44/10,465.63
  6. Step 6: Final answer
    x = 7,935.29

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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.