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Finding the Fourth Proportional to 7,647.96, 10,547.64 and 4,994.40

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Solution

The fourth proportional to 7,647.96, 10,547.64 and 4,994.40 is: 6,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.96 : 10,547.64 = 4,994.40 : x
  2. Step 2: Convert to fraction form
    7,647.96/10,547.64 = 4,994.40/x
  3. Step 3: Cross multiply
    7,647.96x = 10,547.64 × 4,994.40
  4. Step 4: Simplify right side
    7,647.96x = 52,679,133.22
  5. Step 5: Solve for x
    x = 52,679,133.22/7,647.96
  6. Step 6: Final answer
    x = 6,888.00

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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.