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Finding the Fourth Proportional to 10,629.53, 14,670.79 and 7,038.16

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Solution

The fourth proportional to 10,629.53, 14,670.79 and 7,038.16 is: 9,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.53 : 14,670.79 = 7,038.16 : x
  2. Step 2: Convert to fraction form
    10,629.53/14,670.79 = 7,038.16/x
  3. Step 3: Cross multiply
    10,629.53x = 14,670.79 × 7,038.16
  4. Step 4: Simplify right side
    10,629.53x = 103,255,313.07
  5. Step 5: Solve for x
    x = 103,255,313.07/10,629.53
  6. Step 6: Final answer
    x = 9,714.00

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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.