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Finding the Fourth Proportional to 10,417.53, 14,376.09 and 5,637.37

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Solution

The fourth proportional to 10,417.53, 14,376.09 and 5,637.37 is: 7,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.53 : 14,376.09 = 5,637.37 : x
  2. Step 2: Convert to fraction form
    10,417.53/14,376.09 = 5,637.37/x
  3. Step 3: Cross multiply
    10,417.53x = 14,376.09 × 5,637.37
  4. Step 4: Simplify right side
    10,417.53x = 81,043,343.51
  5. Step 5: Solve for x
    x = 81,043,343.51/10,417.53
  6. Step 6: Final answer
    x = 7,779.51

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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.