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Finding the Fourth Proportional to 10,416.51, 14,374.23 and 5,699.88

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Solution

The fourth proportional to 10,416.51, 14,374.23 and 5,699.88 is: 7,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.51 : 14,374.23 = 5,699.88 : x
  2. Step 2: Convert to fraction form
    10,416.51/14,374.23 = 5,699.88/x
  3. Step 3: Cross multiply
    10,416.51x = 14,374.23 × 5,699.88
  4. Step 4: Simplify right side
    10,416.51x = 81,931,386.09
  5. Step 5: Solve for x
    x = 81,931,386.09/10,416.51
  6. Step 6: Final answer
    x = 7,865.53

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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.