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Finding the Fourth Proportional to 10,370.86, 14,312.10 and 5,655.22

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Solution

The fourth proportional to 10,370.86, 14,312.10 and 5,655.22 is: 7,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.86 : 14,312.10 = 5,655.22 : x
  2. Step 2: Convert to fraction form
    10,370.86/14,312.10 = 5,655.22/x
  3. Step 3: Cross multiply
    10,370.86x = 14,312.10 × 5,655.22
  4. Step 4: Simplify right side
    10,370.86x = 80,938,074.16
  5. Step 5: Solve for x
    x = 80,938,074.16/10,370.86
  6. Step 6: Final answer
    x = 7,804.37

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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.