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Finding the Fourth Proportional to 10,629.95, 14,653.96 and 7,038.89

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Solution

The fourth proportional to 10,629.95, 14,653.96 and 7,038.89 is: 9,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.95 : 14,653.96 = 7,038.89 : x
  2. Step 2: Convert to fraction form
    10,629.95/14,653.96 = 7,038.89/x
  3. Step 3: Cross multiply
    10,629.95x = 14,653.96 × 7,038.89
  4. Step 4: Simplify right side
    10,629.95x = 103,147,612.50
  5. Step 5: Solve for x
    x = 103,147,612.50/10,629.95
  6. Step 6: Final answer
    x = 9,703.49

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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.